{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Endoscope"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Endoscope(optic.Optic):\n",
    "    \"\"\"F-theta lens\n",
    "\n",
    "    Milton Laikin, Lens Design, 4th ed., CRC Press, 2007, p. 254\n",
    "    \"\"\"\n",
    "\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf, material=\"water\")\n",
    "        self.add_surface(index=1, radius=np.inf, thickness=0.0310, material=\"N-BK7\")\n",
    "        self.add_surface(index=2, radius=0.0284, thickness=0.0334)\n",
    "        self.add_surface(index=3, radius=np.inf, thickness=0.008, is_stop=True)\n",
    "        self.add_surface(index=4, radius=-0.3742, thickness=0.1139, material=\"N-LAK12\")\n",
    "        self.add_surface(index=5, radius=-0.0965, thickness=0.005)\n",
    "        self.add_surface(index=6, radius=0.7827, thickness=0.1050, material=\"SK16\")\n",
    "        self.add_surface(index=7, radius=-0.0842, thickness=0.0321, material=\"SF4\")\n",
    "        self.add_surface(index=8, radius=-0.3720, thickness=0.4515)\n",
    "        self.add_surface(index=9, radius=0.5158, thickness=0.8304, material=\"N-LAF34\")\n",
    "        self.add_surface(index=10, radius=-0.3939, thickness=0.1884, material=\"SF4\")\n",
    "        self.add_surface(index=11, radius=-0.8018, thickness=0.2429)\n",
    "        self.add_surface(index=12, radius=0.5380, thickness=0.0969, material=\"SF4\")\n",
    "        self.add_surface(index=13, radius=0.2073, thickness=0.7971, material=\"N-LAF34\")\n",
    "        self.add_surface(index=14, radius=-0.3509, thickness=0.3442)\n",
    "        self.add_surface(index=15, radius=0.5158, thickness=0.8304, material=\"N-LAF34\")\n",
    "        self.add_surface(index=16, radius=-0.3939, thickness=0.1884, material=\"SF4\")\n",
    "        self.add_surface(index=17, radius=-0.8018, thickness=0.2429)\n",
    "        self.add_surface(index=18, radius=0.5380, thickness=0.0969, material=\"SF4\")\n",
    "        self.add_surface(index=19, radius=0.2073, thickness=0.7971, material=\"N-LAF34\")\n",
    "        self.add_surface(index=20, radius=-0.3509, thickness=0.4087)\n",
    "        self.add_surface(index=21, radius=0.5158, thickness=0.8304, material=\"N-LAF34\")\n",
    "        self.add_surface(index=22, radius=-0.3939, thickness=0.1884, material=\"SF4\")\n",
    "        self.add_surface(index=23, radius=-0.8018, thickness=0.2429)\n",
    "        self.add_surface(index=24, radius=0.5380, thickness=0.0969, material=\"SF4\")\n",
    "        self.add_surface(index=25, radius=0.2073, thickness=0.7971, material=\"N-LAF34\")\n",
    "        self.add_surface(index=26, radius=-0.3509, thickness=0.2002)\n",
    "        self.add_surface(index=27)\n",
    "\n",
    "        self.set_aperture(aperture_type=\"imageFNO\", value=3.0)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(0.0)\n",
    "        self.add_field(13)\n",
    "        self.add_field(25)\n",
    "\n",
    "        self.add_wavelength(value=0.4861327)\n",
    "        self.add_wavelength(value=0.5875618, is_primary=True)\n",
    "        self.add_wavelength(value=0.6562725)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warning: No exact matches found for material water. Material may be invalid.\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = Endoscope()\n",
    "lens.draw(figsize=(20, 1))"
   ]
  }
 ],
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